What is the derivative of (sqrt(7))/(x^6) ?

The derivative of (sqrt(7))/(x^6) is -(6sqrt(7))/(x^7)

What is the first derivative of (sqrt(7))/(x^6) ?

The first derivative of (sqrt(7))/(x^6) is -(6sqrt(7))/(x^7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{7}{x ^{6}}

- \frac{6 7}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{7}{x ^{6}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 7 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 7 (- 6 x^{- 6 - 1})

Simplify

7 (- 6 x^{- 6 - 1}) : - \frac{6 7}{x ^{7}}

= - \frac{6 7}{x ^{7}}

\frac{d}{d x} (- \frac{1}{( x + 1 ) ^{2}})

3 (1 + x^{2}) \frac{d y}{d x} = 2 x y^{4}

\int \frac{1}{4 - 9 x ^{2}} d x

x \to 3 lim (6 - 2 x)

\int 3 x ln (2 x) d x

What is the derivative of (sqrt(7))/(x^6) ?
The derivative of (sqrt(7))/(x^6) is -(6sqrt(7))/(x^7)
What is the first derivative of (sqrt(7))/(x^6) ?
The first derivative of (sqrt(7))/(x^6) is -(6sqrt(7))/(x^7)